Abstract and Applied Analysis
Volume 2011 (2011), Article ID 209083, 9 pages
doi:10.1155/2011/209083
Research Article

Finding the Roots of System of Nonlinear Equations by a Novel Filled Function Method

Wei-Xiang Wang,1 You-Lin Shang,2 Wei-Gang Sun,3 and Ying Zhang4

1School of Science, Shanghai Second Polytechnic University, Shanghai 201209, China
2School of Science, Henan University of Science and Technology, Luoyang 471003, China
3School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
4School of Science, Zhejiang Normal University, Jinhua 321004, China

Received 20 April 2011; Revised 2 October 2011; Accepted 2 October 2011

Academic Editor: Alexander I. Domoshnitsky

Copyright © 2011 Wei-Xiang Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present a novel filled function approach to solve box-constrained system of nonlinear equations. The system is first transformed into an equivalent nonsmooth global minimization problem, and then a new filled function method is proposed to solve this global optimization problem. Numerical experiments on several test problems are conducted and the computational results are also reported.